Simple algebra problem?

Okay, apparently I'm an idiot because I can't figure out how to solve this.

50/2 = 100/x

The solution that they give me is that x = 4 but I can't for the life of me figure out how they got that.

50/2 = 25 so that gives you

25 = 100/x then you multiply 100 on both sides to get

100 × 25 = x which means

x = 2500. Right???

Please answer the problem and and tell me where I went wrong and also show your work, step by step on the correct way to do it please.

Thanks!

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